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Optimal control of linearly constrained linear systems via state parametrization
Author(s) -
Yen V.,
Nagurka M.
Publication year - 1992
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.4660130206
Subject(s) - parametrization (atmospheric modeling) , optimal control , fourier series , polynomial , control theory (sociology) , mathematics , state variable , state (computer science) , series (stratigraphy) , linear system , mathematical optimization , linear programming , control variable , computer science , control (management) , algorithm , mathematical analysis , physics , paleontology , statistics , quantum mechanics , artificial intelligence , biology , thermodynamics , radiative transfer
This paper presents a general computational tool for determining the near‐optimal trajectories of linear, lumped parameter, dynamic systems subjected to linear constraints. In the proposed approach each state variable is approximated by the sum of a third‐order polynomial and a finite term Fourier‐type series. This enables a linearly constrained optimal control problem to be converted into a linearly constrained mathematical programming problem. Simulation results demonstrate that the approach accurately predicts the optimal performance index and the optimal state and control trajectories.